研究了一个带有休假延迟和休假可中止的Geom/Geom/1排队系统.当服务台结束对一个顾客服务而使系统变空时并不是立即开始工作休假,而是进入一个为休假做准备的空闲期,称之为延迟休假期.如果在这个延迟休假期内没有顾客到达,服务台才进入工作休假.在这个模型中,工作休假是可中止的.利用拟生灭过程和矩阵几何解方法,给出了稳态下队长的分布和队长的概率母函数.此外,也得到了队长和逗留时间的随机分解结构及附加队长和附加延迟的分布.%A Ceotn/Ceom/1 queue with delayed vacation and vacation interruptions is studied. Even if the server has completed all customers, it does not immediately enter working vacation. Only when there are no custom-ers during the delayed vacation, the server begins a working vacation. Vacation interruption policy during the work-ing vacation is also introduced. Using quasi-birth-and-death process and matrix-geometric solution method, the steady-state distributions for queue length and the probability generating function are given. Then the stochastic de-composition structure of queue length and sojourn time in the stationary state is gained and obtained the distributions for additional queue length and additional delay time.
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